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Finding the Third Proportional to 687,357 and 1,509,201

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Solution

The third proportional to 687,357 and 1,509,201 is: 3,313,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,357 : 1,509,201 = 1,509,201 : x
  2. Step 2: Convert to fraction form
    687,357/1,509,201 = 1,509,201/x
  3. Step 3: Cross multiply
    687,357x = 1,509,201 × 1,509,201
  4. Step 4: Simplify right side
    687,357x = 2,277,687,658,401
  5. Step 5: Solve for x
    x = 2,277,687,658,401/687,357
  6. Step 6: Final answer
    x = 3,313,689.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.